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Drupady [299]
2 years ago
15

Precal unit 4 sample work-

Mathematics
1 answer:
miv72 [106K]2 years ago
4 0

Answer:

  (3√26, 0)

Step-by-step explanation:

Finish your work by evaluating the sine and cosine. The imaginary part corresponds to the y-coordinate in (x, y) form.

  3√26(cos(360°) +i·sin(360°)) = 3√26(1 +0i)

In rectangular form, that is ...

  (3√26, 0)

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Changing the mean and standard deviation of a Normal distribution by a moderate amount can greatly change the percent of observa
sweet-ann [11.9K]

Answer:

a) P(X>750)=P(\frac{X-\mu}{\sigma}>\frac{750-\mu}{\sigma})=P(Z1.798)

P(Z>1.798)=1-P(z

f. 3.59 %

b) P(X>750)=P(\frac{X-\mu}{\sigma}>\frac{750-\mu}{\sigma})=P(Z2.21)

P(Z>2.21)=1-P(Z

d. 1.36 %

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the scores of men of a population, and for this case we know the distribution for X is given by:

X \sim N(527,124)  

Where \mu=65.5 and \sigma=2.6

We are interested on this probability

P(X>750)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>750)=P(\frac{X-\mu}{\sigma}>\frac{750-\mu}{\sigma})=P(Z1.798)

And we can find this probability using the complement rule and with the normal standard distribution table or excel:

P(Z>1.798)=1-P(Z

So then the correct answer for this case would be:

f. 3.59 %

Part b

Let X the random variable that represent the scores of women's of a population, and for this case we know the distribution for X is given by:

X \sim N(496,115)  

Where \mu=496 and \sigma=115

We are interested on this probability

P(X>750)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>750)=P(\frac{X-\mu}{\sigma}>\frac{750-\mu}{\sigma})=P(Z2.21)

And we can find this probability using the complement rule and with the normal standard distribution table or excel:

P(Z>2.21)=1-P(Z

So then the correct answer for this case would be:

d. 1.36 %

7 0
3 years ago
Item 2<br> Multiply. Write the answer in simplest form.<br><br> 3/7×1/4=
kolezko [41]

Answer:

in multiplication we just multiply

Step-by-step explanation:

3/7×1/4

3/28

8 0
2 years ago
Just do part B plzz for 12 points i mark brainliest please help me!!​
Pani-rosa [81]

Answer:

1/8 i think

Step-by-step explanation:

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3 years ago
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He would have $6,760 in his account after year one.
Do 6,500*0.04=260
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-1 C, that's the only logical answer I can think of. Or does it have to be in F?

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